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Finding the Fourth Proportional to 682,735.80, 942,155.82 and 380,923.32

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Solution

The fourth proportional to 682,735.80, 942,155.82 and 380,923.32 is: 525,663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,735.80 : 942,155.82 = 380,923.32 : x
  2. Step 2: Convert to fraction form
    682,735.80/942,155.82 = 380,923.32/x
  3. Step 3: Cross multiply
    682,735.80x = 942,155.82 × 380,923.32
  4. Step 4: Simplify right side
    682,735.80x = 358,889,122,911.72
  5. Step 5: Solve for x
    x = 358,889,122,911.72/682,735.80
  6. Step 6: Final answer
    x = 525,663.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.